Synthesis of n-Reactance Networks for Desired Transient Response

Abstract

This paper deals with the problem of synthesizing a network with n‐reactances and an associated necessary number of resistances which will have a transient response most nearly equal, in the least square sense, to a desired transient response when excited with some particular input voltage or current impulse. A method is derived for this synthesis in the cases for which the Laplace transform of the input impulse contains no poles or one pole at s=0. The significance of this method with relation to synthesis techniques based on steady‐state considerations is discussed, and the method is illustrated for a simple case.